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Pullback attractors for the nonclassical diffusion equations with memory in time-dependent spaces
- Source :
- AIMS Mathematics, Vol 8, Iss 12, Pp 30537-30561 (2023)
- Publication Year :
- 2023
- Publisher :
- AIMS Press, 2023.
-
Abstract
- In this paper, we consider the asymptotic behavior of nonclassical diffusion equations with hereditary memory and time-dependent perturbed parameter on whole space $ \mathbb{R}^n $. Under a general assumption on the memory kernel $ k $, the existence and regularity of time-dependent global attractors are proven using a new analytical technique. It is remarkable that the nonlinearity $ f $ has no restriction on the upper growth.
Details
- Language :
- English
- ISSN :
- 24736988
- Volume :
- 8
- Issue :
- 12
- Database :
- Directory of Open Access Journals
- Journal :
- AIMS Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.b77df313eb9f4273b8193eb4d28b97f3
- Document Type :
- article
- Full Text :
- https://doi.org/10.3934/math.20231561?viewType=HTML